210000100112 has 160 divisors (see below), whose sum is σ = 479633408640. Its totient is φ = 88058880000.

The previous prime is 210000100091. The next prime is 210000100133. The reversal of 210000100112 is 211001000012.

210000100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210000100091) and next prime (210000100133).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 210000100112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20597288 + ... + 20607480.

It is an arithmetic number, because the mean of its divisors is an integer number (2997708804).

Almost surely, 2^210000100112 is an apocalyptic number.

210000100112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210000100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239816704320).

210000100112 is an abundant number, since it is smaller than the sum of its proper divisors (269633308528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210000100112 is a wasteful number, since it uses less digits than its factorization.

210000100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210000100112 its reverse (211001000012), we get a palindrome (421001100124).

The spelling of 210000100112 in words is "two hundred ten billion, one hundred thousand, one hundred twelve".